It has both the nature of a basic subject and strong application. It is an important part of engineering science or technical science.

The most prominent example is the aerospace industry. It is no exaggeration to say that without the development of fluid mechanics, there would be no aerospace technology today.

For example, if you are sitting on a Boeing 747 aircraft, consider that there are more than 400 people sitting in it, the total weight is more than 300 tons, and the total length and width are more than half a football field. It is lighter than a feather.

Supported by air, this is an achievement of fluid mechanics that no one can help but marvel at.

So after thinking about it for a while, he finally gave up on this idea and chose only theoretical manifolds instead of fluids with applied properties.

As for chaos mathematics, it is a further in-depth study based on his previous mathematics.

It is a new mathematics developed on measure theory, probability theory, random process, dynamic system, and fractal theory.

The main purpose is to see how unpredictability can be reconciled with determinism.

In the simplest terms, chaos mathematics is actually the study of the 'butterfly effect'.

The goal is to make the butterfly effect work for you. Small changes in initial conditions produce large changes in subsequent behavior, which can be an advantage; all you have to do is make sure you get the big changes you want.

This aspect is not only related to mathematics, but also to physics. It can even play a role in the control of high-temperature plasma turbulence in controllable nuclear fusion.

If he can bring some of these two aspects of knowledge back to China from Princeton, Xu Chuan believes that his future research on controllable nuclear fusion will be improved a lot.

As for solving the problem of controllable nuclear fusion, he actually has no confidence even if he is reborn.

Even though he had stood at the pinnacle of this field in his previous life and advanced it a lot, he still had no certainty.

Because there are so many problems to solve.

Superconducting materials are a piece of the puzzle in controllable nuclear fusion, as is the problem of turbulence, and tritium self-sustainability is also a piece of the puzzle...

And as it progresses, no one knows how many more such problems there will be.

Xu Chuan never thought that he would be able to solve the problem of controllable nuclear fusion immediately after returning from Princeton. That was just an idiot's dream, and he might not be able to do it even in another life, let alone another life.

As the ultimate energy source in human dreams, if it were so easy to solve, it would have been solved long ago.

This chapter is not over yet, please click on the next page to continue reading! Anyway, he is ready to spend his whole life mastering this technology.

As for whether it can be done in the end, apart from hard work, God will decide the rest.

.......

In the office, Xu Chuan took out a brand new notebook from the drawer after pondering for a while.

It is impossible for him to teach the four students in the same way and lead them to the same field.

At least, a good tutor would not do this. This is not the way to lead students.

Of course, this can be done before graduate school, but not after graduate school.

Especially for doctoral students, because for doctoral students, everyone’s previous learning direction and focus are different, and their subsequent development will naturally be different.

In addition, what these students have to do at the doctoral stage is not only to learn knowledge in depth, but also to create knowledge in the field of their own study.

Therefore, he had to make a general arrangement for the application of these four students. As for the specific direction, he needed to wait until they were all here before communicating.

However, although everyone's learning direction is slightly different, the overall goal is still the same.

And he also has a pretty suitable target on his hands.

"Algebraic variety and group mapping tools!"

Yes, it was the mathematical tool he used to prove the Hodge conjecture.

This tool is quite suitable for these four students to learn.

Whether it is Gu Bing and the other three who were selected to study pure mathematics, or Amelia, who was recruited later to study mathematical physics, they can all learn this set of mathematical tools in depth.

It is a tool that communicates in the three fields of algebraic geometry, topology, and analysis. Needless to say, in the field of mathematics, in mathematical physics, topology and analysis are also very important mathematical tools.

So even if Amelia studied mathematical physics, she would not have any problems when facing this set of mathematical tools.
Chapter completed!